Q: What are the factor combinations of the number 80,264,021?

 A:
Positive:   1 x 8026402117 x 4721413139 x 5774392363 x 33967
Negative: -1 x -80264021-17 x -4721413-139 x -577439-2363 x -33967


How do I find the factor combinations of the number 80,264,021?

Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 80,264,021, it is easier to work with a table - it's called factoring from the outside in.

Outside in Factoring

We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.

1 80,264,021
-1 -80,264,021

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 80,264,021.

Example:
1 x 80,264,021 = 80,264,021
and
-1 x -80,264,021 = 80,264,021
Notice both answers equal 80,264,021

With that explanation out of the way, let's continue. Next, we take the number 80,264,021 and divide it by 2:

80,264,021 ÷ 2 = 40,132,010.5

If the quotient is a whole number, then 2 and 40,132,010.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 80,264,021
-1 -80,264,021

Now, we try dividing 80,264,021 by 3:

80,264,021 ÷ 3 = 26,754,673.6667

If the quotient is a whole number, then 3 and 26,754,673.6667 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 80,264,021
-1 -80,264,021

Let's try dividing by 4:

80,264,021 ÷ 4 = 20,066,005.25

If the quotient is a whole number, then 4 and 20,066,005.25 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 80,264,021
-1 80,264,021
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

1171392,36333,967577,4394,721,41380,264,021
-1-17-139-2,363-33,967-577,439-4,721,413-80,264,021

More Examples

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